Keystones — Capstone
Five GCSE retrieval questions · 3 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 5.6x
Answer: (x + 2.8)² - 7.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 25cm, angle = 56°
Answer: 196.9cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 3:5. Find a:b:c.
Answer: 9:6:10 -
5. Statistics Averages and range
Find the mean, median and range of: 43, 39, 96, 31, 92, 76, 64, 35
Answer: Mean = 59.5, Median = 64, Range = 65